47 citations · 47 across the 3 of their papers we have counts for
3 papers
Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice
Oleksiy O. Vakhnenko, Vyacheslav O. Vakhnenko
Bearing in mind the potential physical applicability of multicomponent completely integrable nonlinear dynamical models on quasi-one-dimensional lattices we have developed the nove…
Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior
Oleksiy O. Vakhnenko
A multi-component semi-discrete nonlinear integrable system associated with the relevant third-order auxiliary linear problem is claimed to be the prototype system for several redu…
Strain-induced kinetics of intergrain defects as the mechanism of slow dynamics in the nonlinear resonant response of humid sandstone bars
Oleksiy O. Vakhnenko, Vyacheslav O. Vakhnenko, Thomas J. Shankland +1
A closed-form description is proposed to explain nonlinear and slow dynamics effects exhibited by sandstone bars in longitudinal resonance experiments. Along with the fast subsyste…